New achievable rates for the Gaussian broadcast channel with feedback

A coding scheme for the two-receivers Gaussian broadcast channel (BC) with feedback is proposed. For some asymmetric settings it achieves new rate pairs. Moreover, it achieves prelog 2 when the noises at the two receivers are fully positively correlated and of unequal variances, thus allowing us to complete the characterization of the prelog of the two-receivers Gaussian BC with feedback. The new achievable rates also allow us to determine the asymptotic power offset when the noises at the two receivers are uncorrelated.